Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1384 conjugacy classes of subgroups.
The subgroup lattice has 882 nodes — too large to display as a diagram.
| # | subgroup | G/H | class size | multiplicity | normal? | properties |
|---|---|---|---|---|---|---|
| 1 | D13⋊#443 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 2 | #13131598 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 3 | #13131457 | C2 | 1 | 2 | yes | maximal, complemented |
| 4 | #13130997 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 5 | #13130983 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 6 | #13130875 | C2 | 1 | 2 | yes | maximal, complemented |
| 7 | #13130836 | C2 | 1 | 2 | yes | maximal, complemented |
| 8 | #13130725 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 9 | #13130682 | C2 | 1 | 2 | yes | maximal, complemented |
| 10 | #13130610 | C2 | 1 | 1 | yes | maximal, characteristic, complemented |
| 11 | D13×#576 | C2 | 1 | 1 | yes | maximal, characteristic |
| 12 | D13×H(5,𝔽2) | C22 | 1 | 2 | yes | — |
| 13 | #11719631 | C22 | 1 | 2 | yes | complemented |
| 14 | D13⋊#131 | C22 | 1 | 2 | yes | complemented |
| 15 | C13×#576 | C4 | 1 | 1 | yes | characteristic, complemented |
| 16 | #11719540 | C4 | 1 | 2 | yes | complemented |
| 17 | #11719479 | — | 2 | 2 | no | — |
| 18 | #11719479 | C4 | 1 | 2 | yes | complemented |
| 19 | D13×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 20 | D13×AGL(1,ℤ/8) | C22 | 1 | 2 | yes | — |
| 21 | #11719474 | — | 2 | 1 | no | — |
| 22 | #11719474 | C4 | 1 | 1 | yes | characteristic, complemented |
| 23 | D13×#135 | — | 2 | 1 | no | — |
| 24 | D13×#135 | C22 | 1 | 1 | yes | characteristic |
| 25 | #11719462 | — | 2 | 1 | no | — |
| 26 | #11719462 | C4 | 1 | 1 | yes | characteristic, complemented |
| 27 | C2×D8×D13 | — | 2 | 1 | no | — |
| 28 | C2×D8×D13 | C22 | 1 | 1 | yes | characteristic |
| 29 | #11719457 | C4 | 1 | 1 | yes | characteristic, complemented |
| 30 | D13×#131 | C22 | 1 | 1 | yes | characteristic |
| 31 | #11719165 | — | 2 | 2 | no | — |
| 32 | #11719165 | C22 | 1 | 1 | yes | characteristic |
| 33 | #11719164 | — | 2 | 2 | no | — |
| 34 | #11719164 | C22 | 1 | 2 | yes | — |
| 35 | #11719164 | C22 | 1 | 2 | yes | complemented |
| 36 | D13⋊#104 | C22 | 1 | 1 | yes | characteristic |
| 37 | D13⋊#104 | C22 | 1 | 2 | yes | complemented |
| 38 | #11719151 | C22 | 1 | 2 | yes | complemented |
| 39 | D13⋊#100 | C22 | 1 | 2 | yes | complemented |
| 40 | #11719138 | — | 2 | 2 | no | — |
| 41 | #11719138 | C22 | 1 | 2 | yes | complemented |
| 42 | C2×#88115 | — | 2 | 2 | no | — |
| 43 | C2×#88115 | C22 | 1 | 2 | yes | complemented |
| 44 | #11719111 | — | 2 | 1 | no | — |
| 45 | Q16×#261 | — | 2 | 1 | no | — |
| 46 | #11719107 | — | 2 | 2 | no | — |
| 47 | #11719106 | — | 2 | 2 | no | — |
| 48 | #11719103 | — | 2 | 1 | no | — |
| 49 | D8×#261 | — | 2 | 1 | no | — |
| 50 | D13⋊#108 | C22 | 1 | 1 | yes | characteristic, complemented |
| 51 | C2×#88102 | C22 | 1 | 1 | yes | characteristic, complemented |
| 52 | #11719089 | C22 | 1 | 1 | yes | characteristic, complemented |
| 53 | C2×C8×#261 | C22 | 1 | 1 | yes | characteristic, complemented |
| 54 | #11718273 | C22 | 1 | 1 | yes | characteristic, complemented |
| 55 | #11718272 | C22 | 1 | 1 | yes | characteristic, complemented |
| 56 | #11718271 | C22 | 1 | 2 | yes | complemented |
| 57 | C13×H(5,𝔽2) | C2×C4 | 1 | 2 | yes | complemented |
| 58 | #88256 | — | 2 | 2 | no | — |
| 59 | #88256 | — | 2 | 2 | no | — |
| 60 | #88256 | C2×C4 | 1 | 2 | yes | complemented |
| 61 | #88256 | C2×C4 | 1 | 2 | yes | complemented |
| 62 | #41×D13 | — | 2 | 2 | no | — |
| 63 | #41×D13 | — | 2 | 2 | no | — |
| 64 | #41×D13 | C23 | 1 | 2 | yes | — |
| 65 | #41×D13 | C23 | 1 | 1 | yes | characteristic |
| 66 | #88251 | — | 2 | 2 | no | — |
| 67 | #88251 | — | 2 | 2 | no | — |
| 68 | #88251 | — | 4 | 2 | no | — |
| 69 | #88251 | C2×C4 | 1 | 2 | yes | complemented |
| 70 | C2×D4×D13 | — | 2 | 2 | no | — |
| 71 | C2×D4×D13 | — | 2 | 2 | no | — |
| 72 | C2×D4×D13 | — | 4 | 2 | no | — |
| 73 | C2×D4×D13 | C23 | 1 | 2 | yes | — |
| 74 | C2×C22⋊#261 | — | 4 | 2 | no | — |
| 75 | Q8×#261 | — | 2 | 2 | no | — |
| 76 | #88240 | — | 2 | 2 | no | — |
| 77 | D4×#261 | — | 2 | 2 | no | — |
| 78 | D4×#261 | — | 4 | 2 | no | — |
| 79 | #88238 | — | 2 | 2 | no | — |
| 80 | #88238 | — | 4 | 2 | no | — |
| 81 | #88237 | — | 2 | 2 | no | — |
| 82 | #88237 | C23 | 1 | 1 | yes | characteristic |
| 83 | C2×C4⋊#261 | — | 2 | 2 | no | — |
| 84 | C2×C4⋊#261 | C23 | 1 | 2 | yes | — |
| 85 | C2×C4×#261 | C23 | 1 | 1 | yes | characteristic |
| 86 | D13⋊M16 | — | 2 | 2 | no | — |
| 87 | D13⋊M16 | C23 | 1 | 2 | yes | — |
| 88 | D13⋊M16 | C23 | 1 | 1 | yes | characteristic |
| 89 | C2×D13⋊C8 | — | 2 | 2 | no | — |
| 90 | C2×D13⋊C8 | C23 | 1 | 1 | yes | characteristic |
| 91 | C13×AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 92 | C13×AGL(1,ℤ/8) | C2×C4 | 1 | 2 | yes | complemented |
| 93 | C13×#135 | — | 2 | 1 | no | — |
| 94 | C13×#135 | C2×C4 | 1 | 1 | yes | characteristic |
| 95 | C2×C13×D8 | — | 2 | 1 | no | — |
| 96 | C2×C13×D8 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 97 | C13×#131 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 98 | #88204 | — | 2 | 2 | no | — |
| 99 | #88204 | C2×C4 | 1 | 2 | yes | — |
| 100 | #88203 | — | 2 | 2 | no | — |
| 101 | #88203 | C2×C4 | 1 | 2 | yes | complemented |
| 102 | #88202 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 103 | #88186 | — | 2 | 2 | no | — |
| 104 | #88186 | C2×C4 | 1 | 2 | yes | complemented |
| 105 | C2×#6104 | — | 2 | 2 | no | — |
| 106 | C2×#6104 | C2×C4 | 1 | 2 | yes | complemented |
| 107 | #88173 | — | 2 | 1 | no | — |
| 108 | #88173 | D4 | 1 | 1 | yes | characteristic |
| 109 | Q16×D13 | D4 | 1 | 1 | yes | characteristic |
| 110 | #88170 | — | 2 | 2 | no | — |
| 111 | #88170 | D4 | 1 | 2 | yes | — |
| 112 | #88168 | — | 2 | 2 | no | — |
| 113 | #88168 | — | 2 | 2 | no | — |
| 114 | #88168 | — | 2 | 2 | no | — |
| 115 | SD16×D13 | — | 2 | 2 | no | — |
| 116 | SD16×D13 | D4 | 1 | 2 | yes | — |
| 117 | #88166 | — | 2 | 1 | no | — |
| 118 | #88166 | D4 | 1 | 1 | yes | characteristic |
| 119 | #88165 | — | 2 | 2 | no | — |
| 120 | #88165 | — | 2 | 2 | no | — |
| 121 | #88165 | — | 2 | 2 | no | — |
| 122 | D8×D13 | — | 2 | 2 | no | — |
| 123 | D8×D13 | — | 2 | 1 | no | — |
| 124 | D8×D13 | — | 2 | 2 | no | — |
| 125 | D8×D13 | — | 2 | 1 | no | — |
| 126 | D8×D13 | — | 2 | 1 | no | — |
| 127 | D8×D13 | — | 2 | 1 | no | — |
| 128 | D8×D13 | — | 2 | 1 | no | — |
| 129 | D8×D13 | — | 2 | 1 | no | — |
| 130 | D8×D13 | D4 | 1 | 1 | yes | characteristic |
| 131 | #88162 | — | 2 | 2 | no | — |
| 132 | #88162 | C2×C4 | 1 | 2 | yes | complemented |
| 133 | #88161 | — | 2 | 1 | no | — |
| 134 | #88161 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 135 | M16×D13 | — | 2 | 1 | no | — |
| 136 | M16×D13 | C23 | 1 | 1 | yes | characteristic |
| 137 | #88158 | — | 2 | 1 | no | — |
| 138 | #88158 | C2×C4 | 1 | 1 | yes | characteristic |
| 139 | C2×D104 | — | 2 | 1 | no | — |
| 140 | C2×D104 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 141 | #88155 | — | 2 | 1 | no | — |
| 142 | #88155 | C2×C4 | 1 | 1 | yes | characteristic, complemented |
| 143 | C2×C8×D13 | — | 2 | 1 | no | — |
| 144 | C2×C8×D13 | C23 | 1 | 1 | yes | characteristic |
| 145 | #88121 | — | 4 | 2 | no | — |
| 146 | #88118 | — | 2 | 2 | no | — |
| 147 | #88118 | — | 2 | 1 | no | — |
| 148 | #88117 | — | 2 | 2 | no | — |
| 149 | #88117 | — | 2 | 2 | no | — |
| 150 | #88117 | D4 | 1 | 1 | yes | characteristic |
| 151 | #88117 | D4 | 1 | 1 | yes | characteristic |
| 152 | #88116 | — | 2 | 2 | no | — |
| 153 | #88116 | — | 2 | 1 | no | — |
| 154 | #88115 | — | 2 | 2 | no | — |
| 155 | #88115 | — | 2 | 2 | no | — |
| 156 | #88115 | — | 2 | 2 | no | — |
| 157 | #88115 | — | 2 | 2 | no | — |
| 158 | #88115 | — | 2 | 2 | no | — |
| 159 | #88115 | — | 2 | 2 | no | — |
| 160 | #88115 | D4 | 1 | 1 | yes | characteristic |
| 161 | #88115 | D4 | 1 | 1 | yes | characteristic |
| 162 | #88104 | — | 2 | 1 | no | — |
| 163 | #88103 | — | 2 | 1 | no | — |
| 164 | #88102 | — | 2 | 1 | no | — |
| 165 | #88102 | — | 2 | 1 | no | — |
| 166 | #88100 | — | 2 | 1 | no | — |
| 167 | C8×#261 | — | 2 | 1 | no | — |
| 168 | C8×#261 | — | 2 | 1 | no | — |
| 169 | C8×#261 | — | 2 | 1 | no | — |
| 170 | #22466 | — | 13 | 1 | no | maximal, Sylow |
| 171 | C23×D13 | — | 2 | 2 | no | — |
| 172 | C23×D13 | — | 4 | 2 | no | — |
| 173 | C22×#261 | — | 2 | 1 | no | — |
| 174 | C22×#261 | — | 2 | 2 | no | — |
| 175 | C22×#261 | — | 4 | 2 | no | — |
| 176 | C13×#41 | — | 2 | 2 | no | — |
| 177 | C13×#41 | — | 2 | 2 | no | — |
| 178 | C13×#41 | C22×C4 | 1 | 2 | yes | — |
| 179 | C13×#41 | C22×C4 | 1 | 1 | yes | characteristic |
| 180 | C2×D4×C13 | — | 2 | 2 | no | — |
| 181 | C2×D4×C13 | — | 2 | 2 | no | — |
| 182 | C2×D4×C13 | — | 4 | 2 | no | — |
| 183 | C2×D4×C13 | C22×C4 | 1 | 2 | yes | — |
| 184 | C2×C22⋊D13 | — | 2 | 2 | no | — |
| 185 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 186 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 187 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 188 | C2×C22⋊D13 | — | 4 | 2 | no | — |
| 189 | #6131 | — | 2 | 2 | no | — |
| 190 | #6131 | — | 2 | 2 | no | — |
| 191 | #6131 | C2×D4 | 1 | 2 | yes | — |
| 192 | #6131 | #41 | 1 | 1 | yes | characteristic |
| 193 | Q8×D13 | C2×D4 | 1 | 2 | yes | — |
| 194 | Q8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 195 | #6129 | — | 2 | 2 | no | — |
| 196 | #6129 | — | 2 | 1 | no | — |
| 197 | #6129 | — | 2 | 2 | no | — |
| 198 | #6129 | — | 2 | 2 | no | — |
| 199 | #6129 | — | 4 | 2 | no | — |
| 200 | #6129 | — | 4 | 2 | no | — |
| 201 | #6129 | C2×D4 | 1 | 2 | yes | — |
| 202 | #6129 | #41 | 1 | 1 | yes | characteristic |
| 203 | D4×D13 | — | 2 | 2 | no | — |
| 204 | D4×D13 | — | 2 | 1 | no | — |
| 205 | D4×D13 | — | 2 | 2 | no | — |
| 206 | D4×D13 | — | 2 | 2 | no | — |
| 207 | D4×D13 | — | 2 | 2 | no | — |
| 208 | D4×D13 | — | 2 | 2 | no | — |
| 209 | D4×D13 | — | 2 | 2 | no | — |
| 210 | D4×D13 | — | 2 | 2 | no | — |
| 211 | D4×D13 | — | 2 | 2 | no | — |
| 212 | D4×D13 | — | 2 | 2 | no | — |
| 213 | D4×D13 | — | 4 | 2 | no | — |
| 214 | D4×D13 | — | 4 | 2 | no | — |
| 215 | D4×D13 | — | 4 | 2 | no | — |
| 216 | D4×D13 | — | 4 | 2 | no | — |
| 217 | D4×D13 | — | 4 | 2 | no | — |
| 218 | D4×D13 | — | 4 | 2 | no | — |
| 219 | D4×D13 | — | 4 | 2 | no | — |
| 220 | D4×D13 | — | 4 | 2 | no | — |
| 221 | D4×D13 | C2×D4 | 1 | 2 | yes | — |
| 222 | D4×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 223 | #6127 | — | 2 | 1 | no | — |
| 224 | #6127 | — | 2 | 2 | no | — |
| 225 | #6127 | — | 2 | 2 | no | — |
| 226 | #6127 | — | 2 | 2 | no | — |
| 227 | #6127 | — | 4 | 2 | no | — |
| 228 | #6127 | — | 4 | 2 | no | — |
| 229 | #6127 | C22×C4 | 1 | 2 | yes | — |
| 230 | #6127 | C22×C4 | 1 | 1 | yes | characteristic |
| 231 | C2×D52 | — | 2 | 2 | no | — |
| 232 | C2×D52 | — | 2 | 2 | no | — |
| 233 | C2×D52 | — | 4 | 2 | no | — |
| 234 | C2×D52 | C22×C4 | 1 | 2 | yes | — |
| 235 | C2×C4×D13 | — | 2 | 1 | no | — |
| 236 | C2×C4×D13 | — | 2 | 2 | no | — |
| 237 | C2×C4×D13 | — | 4 | 2 | no | — |
| 238 | C2×C4×D13 | C24 | 1 | 1 | yes | characteristic |
| 239 | C22⋊#261 | — | 2 | 1 | no | — |
| 240 | C22⋊#261 | — | 4 | 2 | no | — |
| 241 | C22⋊#261 | — | 8 | 4 | no | — |
| 242 | #6122 | — | 2 | 1 | no | — |
| 243 | #6122 | — | 2 | 2 | no | — |
| 244 | #6122 | — | 4 | 2 | no | — |
| 245 | C2×#1057 | — | 2 | 1 | no | — |
| 246 | C2×#1057 | — | 4 | 2 | no | — |
| 247 | C4⋊#261 | — | 2 | 2 | no | — |
| 248 | C4⋊#261 | — | 2 | 2 | no | — |
| 249 | C4⋊#261 | — | 4 | 2 | no | — |
| 250 | C4⋊#261 | C2×D4 | 1 | 1 | yes | characteristic |
| 251 | C4⋊#261 | C2×D4 | 1 | 1 | yes | characteristic |
| 252 | C4×#261 | — | 2 | 1 | no | — |
| 253 | C4×#261 | — | 2 | 1 | no | — |
| 254 | C4×#261 | — | 2 | 1 | no | — |
| 255 | C4×#261 | — | 4 | 2 | no | — |
| 256 | #6118 | — | 2 | 2 | no | — |
| 257 | #6118 | — | 2 | 1 | no | — |
| 258 | #6118 | — | 4 | 2 | no | — |
| 259 | D13⋊C8 | — | 2 | 1 | no | — |
| 260 | D13⋊C8 | — | 2 | 1 | no | — |
| 261 | D13⋊C8 | — | 2 | 2 | no | — |
| 262 | D13⋊C8 | — | 4 | 2 | no | — |
| 263 | D13⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 264 | D13⋊C8 | C2×D4 | 1 | 1 | yes | characteristic |
| 265 | C13×Q16 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 266 | C13×SD16 | — | 2 | 2 | no | — |
| 267 | C13×SD16 | C22⋊C4 | 1 | 2 | yes | complemented |
| 268 | C13×D8 | — | 2 | 2 | no | — |
| 269 | C13×D8 | — | 2 | 1 | no | — |
| 270 | C13×D8 | — | 2 | 1 | no | — |
| 271 | C13×D8 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 272 | C13×M16 | — | 2 | 1 | no | — |
| 273 | C13×M16 | C22×C4 | 1 | 1 | yes | characteristic |
| 274 | C2×C8×C13 | — | 2 | 1 | no | — |
| 275 | C2×C8×C13 | C22×C4 | 1 | 1 | yes | characteristic |
| 276 | #6107 | C22⋊C4 | 1 | 2 | yes | complemented |
| 277 | #6106 | — | 2 | 2 | no | — |
| 278 | #6106 | C22⋊C4 | 1 | 2 | yes | complemented |
| 279 | #6105 | — | 2 | 2 | no | — |
| 280 | #6105 | C22⋊C4 | 1 | 2 | yes | complemented |
| 281 | #6104 | — | 2 | 2 | no | — |
| 282 | #6104 | — | 2 | 2 | no | — |
| 283 | #6104 | — | 2 | 2 | no | — |
| 284 | #6104 | — | 2 | 2 | no | — |
| 285 | #6104 | C22⋊C4 | 1 | 2 | yes | complemented |
| 286 | #6099 | — | 2 | 1 | no | — |
| 287 | #6099 | C22×C4 | 1 | 1 | yes | characteristic |
| 288 | C2×#1055 | — | 2 | 1 | no | — |
| 289 | C2×#1055 | C22×C4 | 1 | 1 | yes | characteristic |
| 290 | Dic52 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 291 | D104 | — | 2 | 2 | no | — |
| 292 | D104 | — | 2 | 1 | no | — |
| 293 | D104 | — | 2 | 1 | no | — |
| 294 | D104 | C22⋊C4 | 1 | 1 | yes | characteristic, complemented |
| 295 | #6095 | — | 2 | 2 | no | — |
| 296 | #6095 | C22⋊C4 | 1 | 2 | yes | complemented |
| 297 | #6094 | — | 2 | 1 | no | — |
| 298 | #6094 | — | 2 | 1 | no | — |
| 299 | #6094 | — | 2 | 1 | no | — |
| 300 | C8×D13 | — | 2 | 1 | no | — |
| 301 | C8×D13 | — | 2 | 1 | no | — |
| 302 | C8×D13 | — | 2 | 1 | no | — |
| 303 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 304 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 305 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 306 | C8×D13 | C2×D4 | 1 | 1 | yes | characteristic |
| 307 | C2×#576 | — | 13 | 1 | no | — |
| 308 | C2×#443 | — | 13 | 1 | no | — |
| 309 | #2951 | — | 13 | 1 | no | — |
| 310 | #2897 | — | 13 | 2 | no | — |
| 311 | #1978 | — | 13 | 1 | no | — |
| 312 | #1970 | — | 13 | 1 | no | — |
| 313 | #1907 | — | 13 | 2 | no | — |
| 314 | #1883 | — | 13 | 2 | no | — |
| 315 | #1816 | — | 13 | 1 | no | — |
| 316 | #1792 | — | 13 | 2 | no | — |
| 317 | #1764 | — | 13 | 1 | no | — |
| 318 | C23×C13 | — | 2 | 2 | no | — |
| 319 | C23×C13 | — | 4 | 2 | no | — |
| 320 | C22×D13 | — | 2 | 2 | no | — |
| 321 | C22×D13 | — | 2 | 1 | no | — |
| 322 | C22×D13 | — | 2 | 2 | no | — |
| 323 | C22×D13 | — | 4 | 2 | no | — |
| 324 | C22×D13 | — | 4 | 2 | no | — |
| 325 | C22×D13 | — | 4 | 2 | no | — |
| 326 | C22×D13 | — | 4 | 2 | no | — |
| 327 | C22×D13 | — | 4 | 2 | no | — |
| 328 | C22×D13 | — | 8 | 2 | no | — |
| 329 | C22×D13 | — | 8 | 2 | no | — |
| 330 | C22×D13 | — | 16 | 2 | no | — |
| 331 | C22×D13 | — | 16 | 2 | no | — |
| 332 | C22×D13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 333 | C2×#261 | — | 2 | 2 | no | — |
| 334 | C2×#261 | — | 2 | 1 | no | — |
| 335 | C2×#261 | — | 2 | 1 | no | — |
| 336 | C2×#261 | — | 4 | 1 | no | — |
| 337 | C2×#261 | — | 4 | 1 | no | — |
| 338 | C2×#261 | — | 4 | 2 | no | — |
| 339 | C2×#261 | — | 8 | 2 | no | — |
| 340 | C2×#261 | — | 16 | 2 | no | — |
| 341 | Q8×C13 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 342 | Q8×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 343 | D4×C13 | — | 2 | 1 | no | — |
| 344 | D4×C13 | — | 2 | 2 | no | — |
| 345 | D4×C13 | — | 2 | 2 | no | — |
| 346 | D4×C13 | — | 2 | 2 | no | — |
| 347 | D4×C13 | — | 4 | 2 | no | — |
| 348 | D4×C13 | — | 4 | 2 | no | — |
| 349 | D4×C13 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 350 | D4×C13 | C4×D4 | 1 | 1 | yes | characteristic |
| 351 | C2×C4×C13 | — | 2 | 1 | no | — |
| 352 | C2×C4×C13 | — | 2 | 2 | no | — |
| 353 | C2×C4×C13 | — | 4 | 2 | no | — |
| 354 | C2×C4×C13 | C23×C4 | 1 | 1 | yes | characteristic |
| 355 | C22⋊D13 | — | 2 | 1 | no | — |
| 356 | C22⋊D13 | — | 2 | 2 | no | — |
| 357 | C22⋊D13 | — | 2 | 1 | no | — |
| 358 | C22⋊D13 | — | 2 | 2 | no | — |
| 359 | C22⋊D13 | — | 2 | 1 | no | — |
| 360 | C22⋊D13 | — | 2 | 2 | no | — |
| 361 | C22⋊D13 | — | 4 | 2 | no | — |
| 362 | C22⋊D13 | — | 4 | 2 | no | — |
| 363 | C22⋊D13 | — | 4 | 2 | no | — |
| 364 | C22⋊D13 | — | 4 | 2 | no | — |
| 365 | C22⋊D13 | — | 4 | 2 | no | — |
| 366 | C22⋊D13 | — | 4 | 2 | no | — |
| 367 | C2×Dic13 | — | 2 | 2 | no | — |
| 368 | C2×Dic13 | — | 2 | 1 | no | — |
| 369 | C2×Dic13 | — | 4 | 2 | no | — |
| 370 | C2×Dic13 | H(5,𝔽2) | 1 | 1 | yes | characteristic |
| 371 | D52 | — | 2 | 1 | no | — |
| 372 | D52 | — | 2 | 2 | no | — |
| 373 | D52 | — | 2 | 2 | no | — |
| 374 | D52 | — | 2 | 2 | no | — |
| 375 | D52 | — | 4 | 2 | no | — |
| 376 | D52 | — | 4 | 2 | no | — |
| 377 | D52 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 378 | D52 | C4×D4 | 1 | 1 | yes | characteristic |
| 379 | C4×D13 | — | 2 | 2 | no | — |
| 380 | C4×D13 | — | 2 | 1 | no | — |
| 381 | C4×D13 | — | 2 | 1 | no | — |
| 382 | C4×D13 | — | 2 | 2 | no | — |
| 383 | C4×D13 | — | 2 | 2 | no | — |
| 384 | C4×D13 | — | 2 | 1 | no | — |
| 385 | C4×D13 | — | 4 | 2 | no | — |
| 386 | C4×D13 | — | 4 | 2 | no | — |
| 387 | C4×D13 | C22×D4 | 1 | 1 | yes | characteristic |
| 388 | C4×D13 | C22×D4 | 1 | 1 | yes | characteristic |
| 389 | C4×D13 | C22×D4 | 1 | 1 | yes | characteristic |
| 390 | C4×D13 | C2×#41 | 1 | 1 | yes | characteristic |
| 391 | Dic26 | — | 2 | 1 | no | — |
| 392 | Dic26 | — | 2 | 2 | no | — |
| 393 | Dic26 | C2×C22⋊C4 | 1 | 2 | yes | — |
| 394 | Dic26 | C4×D4 | 1 | 1 | yes | characteristic |
| 395 | #1057 | — | 2 | 1 | no | — |
| 396 | #1057 | — | 2 | 1 | no | — |
| 397 | #1057 | — | 4 | 2 | no | — |
| 398 | #1057 | — | 4 | 1 | no | — |
| 399 | C8×C13 | — | 2 | 1 | no | — |
| 400 | C8×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 401 | C8×C13 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 402 | #1055 | — | 2 | 1 | no | — |
| 403 | #1055 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 404 | #1055 | C2×C22⋊C4 | 1 | 1 | yes | characteristic |
| 405 | C2×H(5,𝔽2) | — | 13 | 2 | no | — |
| 406 | #576 | — | 13 | 2 | no | — |
| 407 | #576 | — | 13 | 2 | no | — |
| 408 | #576 | — | 13 | 1 | no | — |
| 409 | #576 | — | 13 | 1 | no | — |
| 410 | #576 | — | 13 | 1 | no | — |
| 411 | #576 | — | 26 | 1 | no | — |
| 412 | #576 | — | 26 | 1 | no | — |
| 413 | #576 | — | 26 | 2 | no | — |
| 414 | #576 | #261 | 1 | 1 | yes | characteristic, complemented |
| 415 | C2×AGL(1,ℤ/8) | — | 13 | 2 | no | — |
| 416 | C2×AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 417 | C2×#135 | — | 13 | 1 | no | — |
| 418 | C2×#135 | — | 26 | 1 | no | — |
| 419 | C22×D8 | — | 13 | 1 | no | — |
| 420 | C22×D8 | — | 26 | 1 | no | — |
| 421 | C2×#131 | — | 13 | 1 | no | — |
| 422 | C2×#131 | — | 13 | 2 | no | — |
| 423 | #520 | — | 13 | 2 | no | — |
| 424 | #443 | — | 26 | 1 | no | — |
| 425 | #443 | — | 26 | 2 | no | — |
| 426 | #443 | — | 26 | 1 | no | — |
| 427 | #440 | — | 26 | 2 | no | — |
| 428 | C4×Q16 | — | 26 | 1 | no | — |
| 429 | C4×D8 | — | 26 | 1 | no | — |
| 430 | C2×#108 | — | 13 | 1 | no | — |
| 431 | C2×#107 | — | 13 | 1 | no | — |
| 432 | C2×#104 | — | 13 | 1 | no | — |
| 433 | C2×#104 | — | 13 | 2 | no | — |
| 434 | #418 | — | 13 | 2 | no | — |
| 435 | #418 | — | 26 | 2 | no | — |
| 436 | #417 | — | 13 | 2 | no | — |
| 437 | #417 | — | 13 | 2 | no | — |
| 438 | #417 | — | 26 | 2 | no | — |
| 439 | #416 | — | 13 | 1 | no | — |
| 440 | #416 | — | 26 | 2 | no | — |
| 441 | C2×#102 | — | 13 | 2 | no | — |
| 442 | C2×#102 | — | 26 | 2 | no | — |
| 443 | C2×#100 | — | 13 | 2 | no | — |
| 444 | #405 | — | 13 | 1 | no | — |
| 445 | C2×C4×C8 | — | 13 | 1 | no | — |
| 446 | #390 | — | 13 | 2 | no | — |
| 447 | #343 | — | 13 | 2 | no | — |
| 448 | #341 | — | 13 | 1 | no | — |
| 449 | #339 | — | 13 | 1 | no | — |
| 450 | C22×C13 | — | 2 | 1 | no | — |
| 451 | C22×C13 | — | 2 | 2 | no | — |
| 452 | C22×C13 | — | 4 | 2 | no | — |
| 453 | C22×C13 | — | 8 | 2 | no | — |
| 454 | C22×C13 | — | 16 | 2 | no | — |
| 455 | C22×C13 | #518 | 1 | 1 | yes | characteristic |
| 456 | C2×D13 | — | 2 | 1 | no | — |
| 457 | C2×D13 | — | 2 | 1 | no | — |
| 458 | C2×D13 | — | 2 | 1 | no | — |
| 459 | C2×D13 | — | 2 | 2 | no | — |
| 460 | C2×D13 | — | 4 | 2 | no | — |
| 461 | C2×D13 | — | 4 | 1 | no | — |
| 462 | C2×D13 | — | 4 | 2 | no | — |
| 463 | C2×D13 | — | 4 | 1 | no | — |
| 464 | C2×D13 | — | 4 | 2 | no | — |
| 465 | C2×D13 | — | 8 | 2 | no | — |
| 466 | C2×D13 | — | 8 | 2 | no | — |
| 467 | C2×D13 | — | 8 | 2 | no | — |
| 468 | C2×D13 | — | 16 | 2 | no | — |
| 469 | C2×D13 | — | 16 | 2 | no | — |
| 470 | C2×D13 | — | 16 | 2 | no | — |
| 471 | C2×D13 | — | 16 | 2 | no | — |
| 472 | C2×D13 | D42 | 1 | 1 | yes | characteristic |
| 473 | C2×D13 | #546 | 1 | 1 | yes | characteristic |
| 474 | #261 | — | 4 | 2 | no | — |
| 475 | #261 | — | 4 | 1 | no | — |
| 476 | #261 | — | 4 | 1 | no | — |
| 477 | #261 | — | 8 | 2 | no | — |
| 478 | C4×C13 | — | 2 | 1 | no | — |
| 479 | C4×C13 | — | 2 | 2 | no | — |
| 480 | C4×C13 | C22×C22⋊C4 | 1 | 1 | yes | characteristic |
| 481 | C4×C13 | C2×C4×D4 | 1 | 1 | yes | characteristic |
| 482 | Dic13 | — | 2 | 2 | no | — |
| 483 | Dic13 | — | 2 | 1 | no | — |
| 484 | Dic13 | D42 | 1 | 1 | yes | characteristic |
| 485 | Dic13 | #546 | 1 | 1 | yes | characteristic |
| 486 | H(5,𝔽2) | — | 13 | 2 | no | — |
| 487 | H(5,𝔽2) | — | 13 | 2 | no | — |
| 488 | H(5,𝔽2) | — | 13 | 2 | no | — |
| 489 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 490 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 491 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 492 | H(5,𝔽2) | — | 26 | 2 | no | — |
| 493 | H(5,𝔽2) | — | 52 | 2 | no | — |
| 494 | H(5,𝔽2) | C2×#261 | 1 | 2 | yes | complemented |
| 495 | C2×#41 | — | 13 | 2 | no | — |
| 496 | C2×#41 | — | 13 | 1 | no | — |
| 497 | C2×#41 | — | 26 | 2 | no | — |
| 498 | C2×#41 | — | 26 | 2 | no | — |
| 499 | C22×D4 | — | 13 | 2 | no | — |
| 500 | C22×D4 | — | 26 | 2 | no | — |
| 501 | C22×D4 | — | 26 | 2 | no | — |
| 502 | C22×D4 | — | 52 | 2 | no | — |
| 503 | AGL(1,ℤ/8) | — | 2 | 2 | no | — |
| 504 | AGL(1,ℤ/8) | — | 13 | 2 | no | — |
| 505 | AGL(1,ℤ/8) | — | 13 | 2 | no | — |
| 506 | AGL(1,ℤ/8) | — | 13 | 2 | no | — |
| 507 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 508 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 509 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 510 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 511 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 512 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 513 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 514 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 515 | AGL(1,ℤ/8) | — | 26 | 2 | no | — |
| 516 | AGL(1,ℤ/8) | C2×#261 | 1 | 2 | yes | complemented |
| 517 | #135 | — | 2 | 1 | no | — |
| 518 | #135 | — | 13 | 2 | no | — |
| 519 | #135 | — | 13 | 1 | no | — |
| 520 | #135 | — | 13 | 2 | no | — |
| 521 | #135 | — | 13 | 1 | no | — |
| 522 | #135 | — | 13 | 1 | no | — |
| 523 | #135 | — | 26 | 1 | no | — |
| 524 | #135 | — | 26 | 1 | no | — |
| 525 | #135 | — | 26 | 2 | no | — |
| 526 | #135 | — | 26 | 2 | no | — |
| 527 | #135 | — | 26 | 1 | no | — |
| 528 | #135 | C2×#261 | 1 | 1 | yes | characteristic |
| 529 | C2×Q16 | — | 13 | 1 | no | — |
| 530 | C2×SD16 | — | 13 | 2 | no | — |
| 531 | C2×SD16 | — | 26 | 2 | no | — |
| 532 | C2×D8 | — | 2 | 1 | no | — |
| 533 | C2×D8 | — | 13 | 1 | no | — |
| 534 | C2×D8 | — | 13 | 2 | no | — |
| 535 | C2×D8 | — | 13 | 1 | no | — |
| 536 | C2×D8 | — | 26 | 1 | no | — |
| 537 | C2×D8 | — | 26 | 1 | no | — |
| 538 | C2×D8 | — | 26 | 1 | no | — |
| 539 | C2×D8 | — | 26 | 1 | no | — |
| 540 | C2×D8 | — | 26 | 1 | no | — |
| 541 | C2×D8 | — | 26 | 2 | no | — |
| 542 | C2×D8 | — | 26 | 1 | no | — |
| 543 | C2×D8 | — | 26 | 2 | no | — |
| 544 | C2×D8 | — | 26 | 2 | no | — |
| 545 | C2×D8 | — | 26 | 1 | no | — |
| 546 | C2×D8 | C2×#261 | 1 | 1 | yes | characteristic, complemented |
| 547 | #131 | — | 13 | 1 | no | — |
| 548 | #131 | — | 13 | 1 | no | — |
| 549 | #131 | — | 13 | 1 | no | — |
| 550 | #131 | — | 26 | 1 | no | — |
| 551 | #131 | — | 26 | 1 | no | — |
| 552 | #131 | — | 26 | 2 | no | — |
| 553 | #131 | — | 26 | 2 | no | — |
| 554 | #131 | — | 52 | 2 | no | — |
| 555 | #131 | C2×#261 | 1 | 1 | yes | characteristic, complemented |
| 556 | C2×M16 | — | 13 | 1 | no | — |
| 557 | C2×M16 | — | 13 | 2 | no | — |
| 558 | C2×M16 | — | 13 | 1 | no | — |
| 559 | C2×M16 | — | 26 | 1 | no | — |
| 560 | C2×M16 | — | 26 | 2 | no | — |
| 561 | C22×C8 | — | 13 | 1 | no | — |
| 562 | C22×C8 | — | 13 | 1 | no | — |
| 563 | C22×C8 | — | 26 | 1 | no | — |
| 564 | C22×C8 | — | 26 | 2 | no | — |
| 565 | C4×Q8 | — | 26 | 2 | no | — |
| 566 | C4×D4 | — | 26 | 2 | no | — |
| 567 | C4×D4 | — | 52 | 2 | no | — |
| 568 | #117 | — | 13 | 1 | no | — |
| 569 | #117 | — | 26 | 2 | no | — |
| 570 | C2×C4⋊C4 | — | 13 | 2 | no | — |
| 571 | C2×C4⋊C4 | — | 26 | 2 | no | — |
| 572 | C2×C22⋊C4 | — | 52 | 2 | no | — |
| 573 | C2×C42 | — | 13 | 1 | no | — |
| 574 | #108 | — | 26 | 1 | no | — |
| 575 | #108 | — | 26 | 1 | no | — |
| 576 | #107 | — | 26 | 1 | no | — |
| 577 | #107 | — | 26 | 1 | no | — |
| 578 | #104 | — | 26 | 1 | no | — |
| 579 | #104 | — | 26 | 2 | no | — |
| 580 | #104 | — | 26 | 1 | no | — |
| 581 | #104 | — | 26 | 2 | no | — |
| 582 | #103 | — | 13 | 1 | no | — |
| 583 | #103 | — | 13 | 1 | no | — |
| 584 | #103 | — | 26 | 2 | no | — |
| 585 | #103 | — | 26 | 2 | no | — |
| 586 | #102 | — | 13 | 1 | no | — |
| 587 | #102 | — | 13 | 1 | no | — |
| 588 | #102 | — | 26 | 2 | no | — |
| 589 | #102 | — | 26 | 2 | no | — |
| 590 | #102 | — | 26 | 2 | no | — |
| 591 | #102 | — | 26 | 2 | no | — |
| 592 | #102 | — | 26 | 2 | no | — |
| 593 | #102 | — | 26 | 2 | no | — |
| 594 | #100 | — | 52 | 2 | no | — |
| 595 | #97 | — | 26 | 1 | no | — |
| 596 | C4×C8 | — | 26 | 1 | no | — |
| 597 | C4×C8 | — | 26 | 1 | no | — |
| 598 | C4×C8 | — | 26 | 1 | no | — |
| 599 | C2×C13 | — | 2 | 1 | no | — |
| 600 | C2×C13 | — | 4 | 1 | no | — |
| 601 | C2×C13 | — | 4 | 2 | no | — |
| 602 | C2×C13 | — | 8 | 2 | no | — |
| 603 | C2×C13 | D4×C22⋊C4 | 1 | 1 | yes | characteristic |
| 604 | D13 | — | 2 | 1 | no | — |
| 605 | D13 | — | 4 | 2 | no | — |
| 606 | D13 | — | 4 | 1 | no | — |
| 607 | D13 | — | 8 | 2 | no | — |
| 608 | D13 | #3290 | 1 | 1 | yes | characteristic |
| 609 | D13 | #3292 | 1 | 1 | yes | characteristic |
| 610 | C24 | — | 26 | 2 | no | — |
| 611 | C24 | — | 52 | 2 | no | — |
| 612 | #41 | — | 2 | 2 | no | — |
| 613 | #41 | — | 2 | 2 | no | — |
| 614 | #41 | — | 13 | 1 | no | — |
| 615 | #41 | — | 13 | 2 | no | — |
| 616 | #41 | — | 13 | 1 | no | — |
| 617 | #41 | — | 13 | 2 | no | — |
| 618 | #41 | — | 13 | 1 | no | — |
| 619 | #41 | — | 13 | 2 | no | — |
| 620 | #41 | — | 26 | 1 | no | — |
| 621 | #41 | — | 26 | 2 | no | — |
| 622 | #41 | — | 26 | 2 | no | — |
| 623 | #41 | — | 26 | 2 | no | — |
| 624 | #41 | — | 26 | 2 | no | — |
| 625 | #41 | — | 26 | 1 | no | — |
| 626 | #41 | — | 26 | 2 | no | — |
| 627 | #41 | — | 26 | 2 | no | — |
| 628 | #41 | — | 26 | 2 | no | — |
| 629 | #41 | — | 26 | 2 | no | — |
| 630 | #41 | — | 52 | 2 | no | — |
| 631 | #41 | — | 52 | 2 | no | — |
| 632 | #41 | — | 52 | 2 | no | — |
| 633 | #41 | — | 52 | 2 | no | — |
| 634 | #41 | C22×#261 | 1 | 1 | yes | characteristic |
| 635 | #41 | C22×#261 | 1 | 2 | yes | — |
| 636 | C2×Q8 | — | 13 | 1 | no | — |
| 637 | C2×Q8 | — | 13 | 2 | no | — |
| 638 | C2×D4 | — | 2 | 2 | no | — |
| 639 | C2×D4 | — | 2 | 2 | no | — |
| 640 | C2×D4 | — | 4 | 2 | no | — |
| 641 | C2×D4 | — | 13 | 1 | no | — |
| 642 | C2×D4 | — | 13 | 2 | no | — |
| 643 | C2×D4 | — | 13 | 2 | no | — |
| 644 | C2×D4 | — | 26 | 2 | no | — |
| 645 | C2×D4 | — | 26 | 2 | no | — |
| 646 | C2×D4 | — | 26 | 2 | no | — |
| 647 | C2×D4 | — | 26 | 2 | no | — |
| 648 | C2×D4 | — | 26 | 2 | no | — |
| 649 | C2×D4 | — | 26 | 2 | no | — |
| 650 | C2×D4 | — | 26 | 2 | no | — |
| 651 | C2×D4 | — | 26 | 2 | no | — |
| 652 | C2×D4 | — | 26 | 2 | no | — |
| 653 | C2×D4 | — | 26 | 2 | no | — |
| 654 | C2×D4 | — | 26 | 1 | no | — |
| 655 | C2×D4 | — | 26 | 2 | no | — |
| 656 | C2×D4 | — | 26 | 2 | no | — |
| 657 | C2×D4 | — | 52 | 2 | no | — |
| 658 | C2×D4 | — | 52 | 2 | no | — |
| 659 | C2×D4 | — | 52 | 2 | no | — |
| 660 | C2×D4 | — | 52 | 2 | no | — |
| 661 | C2×D4 | — | 52 | 2 | no | — |
| 662 | C2×D4 | — | 52 | 2 | no | — |
| 663 | C2×D4 | — | 52 | 2 | no | — |
| 664 | C2×D4 | — | 52 | 2 | no | — |
| 665 | C2×D4 | — | 52 | 2 | no | — |
| 666 | C2×D4 | — | 52 | 2 | no | — |
| 667 | C2×D4 | — | 52 | 2 | no | — |
| 668 | C2×D4 | — | 52 | 2 | no | — |
| 669 | C2×D4 | — | 52 | 2 | no | — |
| 670 | C2×D4 | C22×#261 | 1 | 2 | yes | — |
| 671 | C22×C4 | — | 13 | 1 | no | — |
| 672 | C22×C4 | — | 26 | 2 | no | — |
| 673 | C22×C4 | — | 26 | 1 | no | — |
| 674 | C22×C4 | — | 26 | 1 | no | — |
| 675 | C22×C4 | — | 26 | 2 | no | — |
| 676 | C22×C4 | — | 52 | 2 | no | — |
| 677 | C22×C4 | — | 52 | 2 | no | — |
| 678 | Q16 | — | 13 | 2 | no | — |
| 679 | Q16 | — | 13 | 1 | no | — |
| 680 | Q16 | C22⋊#261 | 1 | 1 | yes | characteristic, complemented |
| 681 | SD16 | — | 2 | 2 | no | — |
| 682 | SD16 | — | 13 | 2 | no | — |
| 683 | SD16 | — | 13 | 2 | no | — |
| 684 | SD16 | — | 13 | 2 | no | — |
| 685 | SD16 | — | 26 | 2 | no | — |
| 686 | SD16 | — | 26 | 2 | no | — |
| 687 | SD16 | — | 26 | 2 | no | — |
| 688 | SD16 | C22⋊#261 | 1 | 2 | yes | complemented |
| 689 | D8 | — | 2 | 2 | no | — |
| 690 | D8 | — | 2 | 1 | no | — |
| 691 | D8 | — | 2 | 1 | no | — |
| 692 | D8 | — | 13 | 2 | no | — |
| 693 | D8 | — | 13 | 1 | no | — |
| 694 | D8 | — | 26 | 2 | no | — |
| 695 | D8 | — | 26 | 2 | no | — |
| 696 | D8 | — | 26 | 2 | no | — |
| 697 | D8 | — | 26 | 2 | no | — |
| 698 | D8 | — | 26 | 2 | no | — |
| 699 | D8 | — | 26 | 1 | no | — |
| 700 | D8 | — | 26 | 1 | no | — |
| 701 | D8 | C22⋊#261 | 1 | 1 | yes | characteristic, complemented |
| 702 | M16 | — | 2 | 1 | no | — |
| 703 | M16 | — | 13 | 1 | no | — |
| 704 | M16 | — | 26 | 1 | no | — |
| 705 | M16 | — | 26 | 1 | no | — |
| 706 | M16 | — | 26 | 1 | no | — |
| 707 | M16 | — | 26 | 1 | no | — |
| 708 | M16 | — | 26 | 1 | no | — |
| 709 | M16 | — | 26 | 2 | no | — |
| 710 | M16 | — | 26 | 2 | no | — |
| 711 | M16 | — | 26 | 1 | no | — |
| 712 | M16 | — | 52 | 2 | no | — |
| 713 | M16 | — | 52 | 2 | no | — |
| 714 | M16 | C22×#261 | 1 | 1 | yes | characteristic |
| 715 | C2×C8 | — | 2 | 1 | no | — |
| 716 | C2×C8 | — | 13 | 1 | no | — |
| 717 | C2×C8 | — | 13 | 1 | no | — |
| 718 | C2×C8 | — | 13 | 1 | no | — |
| 719 | C2×C8 | — | 13 | 1 | no | — |
| 720 | C2×C8 | — | 13 | 1 | no | — |
| 721 | C2×C8 | — | 13 | 1 | no | — |
| 722 | C2×C8 | — | 13 | 1 | no | — |
| 723 | C2×C8 | — | 26 | 1 | no | — |
| 724 | C2×C8 | — | 26 | 1 | no | — |
| 725 | C2×C8 | — | 26 | 1 | no | — |
| 726 | C2×C8 | — | 26 | 1 | no | — |
| 727 | C2×C8 | — | 26 | 1 | no | — |
| 728 | C2×C8 | — | 26 | 1 | no | — |
| 729 | C2×C8 | — | 26 | 1 | no | — |
| 730 | C2×C8 | — | 26 | 2 | no | — |
| 731 | C2×C8 | — | 52 | 2 | no | — |
| 732 | C2×C8 | — | 52 | 2 | no | — |
| 733 | C2×C8 | C22×#261 | 1 | 1 | yes | characteristic |
| 734 | C4⋊C4 | — | 13 | 1 | no | — |
| 735 | C4⋊C4 | — | 13 | 1 | no | — |
| 736 | C4⋊C4 | — | 26 | 2 | no | — |
| 737 | C4⋊C4 | — | 26 | 2 | no | — |
| 738 | C4⋊C4 | — | 52 | 2 | no | — |
| 739 | C22⋊C4 | — | 26 | 1 | no | — |
| 740 | C22⋊C4 | — | 52 | 2 | no | — |
| 741 | C22⋊C4 | — | 104 | 4 | no | — |
| 742 | C42 | — | 26 | 1 | no | — |
| 743 | C42 | — | 26 | 1 | no | — |
| 744 | C42 | — | 26 | 1 | no | — |
| 745 | C42 | — | 52 | 2 | no | — |
| 746 | C13 | #22466 | 1 | 1 | yes | characteristic, complemented, Sylow |
| 747 | C23 | — | 2 | 2 | no | — |
| 748 | C23 | — | 4 | 2 | no | — |
| 749 | C23 | — | 13 | 1 | no | — |
| 750 | C23 | — | 26 | 2 | no | — |
| 751 | C23 | — | 26 | 1 | no | — |
| 752 | C23 | — | 26 | 2 | no | — |
| 753 | C23 | — | 52 | 2 | no | — |
| 754 | C23 | — | 52 | 2 | no | — |
| 755 | C23 | — | 52 | 2 | no | — |
| 756 | C23 | — | 52 | 2 | no | — |
| 757 | C23 | — | 52 | 2 | no | — |
| 758 | C23 | — | 104 | 2 | no | — |
| 759 | C23 | — | 104 | 2 | no | — |
| 760 | C23 | — | 208 | 2 | no | — |
| 761 | C23 | — | 208 | 2 | no | — |
| 762 | Q8 | — | 13 | 1 | no | — |
| 763 | Q8 | — | 13 | 2 | no | — |
| 764 | Q8 | — | 26 | 2 | no | — |
| 765 | Q8 | — | 26 | 1 | no | — |
| 766 | Q8 | D4×#261 | 1 | 1 | yes | characteristic |
| 767 | Q8 | C2×C22⋊#261 | 1 | 2 | yes | — |
| 768 | D4 | — | 2 | 1 | no | — |
| 769 | D4 | — | 2 | 2 | no | — |
| 770 | D4 | — | 2 | 2 | no | — |
| 771 | D4 | — | 2 | 2 | no | — |
| 772 | D4 | — | 4 | 2 | no | — |
| 773 | D4 | — | 4 | 2 | no | — |
| 774 | D4 | — | 13 | 1 | no | — |
| 775 | D4 | — | 13 | 2 | no | — |
| 776 | D4 | — | 26 | 1 | no | — |
| 777 | D4 | — | 26 | 2 | no | — |
| 778 | D4 | — | 26 | 1 | no | — |
| 779 | D4 | — | 26 | 2 | no | — |
| 780 | D4 | — | 26 | 1 | no | — |
| 781 | D4 | — | 26 | 2 | no | — |
| 782 | D4 | — | 26 | 1 | no | — |
| 783 | D4 | — | 26 | 2 | no | — |
| 784 | D4 | — | 26 | 2 | no | — |
| 785 | D4 | — | 26 | 2 | no | — |
| 786 | D4 | — | 52 | 2 | no | — |
| 787 | D4 | — | 52 | 2 | no | — |
| 788 | D4 | — | 52 | 2 | no | — |
| 789 | D4 | — | 52 | 2 | no | — |
| 790 | D4 | — | 52 | 2 | no | — |
| 791 | D4 | — | 52 | 2 | no | — |
| 792 | D4 | — | 52 | 2 | no | — |
| 793 | D4 | — | 52 | 2 | no | — |
| 794 | D4 | D4×#261 | 1 | 1 | yes | characteristic |
| 795 | D4 | C2×C22⋊#261 | 1 | 2 | yes | — |
| 796 | C2×C4 | — | 2 | 2 | no | — |
| 797 | C2×C4 | — | 2 | 1 | no | — |
| 798 | C2×C4 | — | 4 | 2 | no | — |
| 799 | C2×C4 | — | 13 | 1 | no | — |
| 800 | C2×C4 | — | 13 | 1 | no | — |
| 801 | C2×C4 | — | 13 | 1 | no | — |
| 802 | C2×C4 | — | 13 | 1 | no | — |
| 803 | C2×C4 | — | 13 | 1 | no | — |
| 804 | C2×C4 | — | 26 | 2 | no | — |
| 805 | C2×C4 | — | 26 | 1 | no | — |
| 806 | C2×C4 | — | 26 | 2 | no | — |
| 807 | C2×C4 | — | 26 | 1 | no | — |
| 808 | C2×C4 | — | 26 | 2 | no | — |
| 809 | C2×C4 | — | 26 | 1 | no | — |
| 810 | C2×C4 | — | 26 | 2 | no | — |
| 811 | C2×C4 | — | 26 | 1 | no | — |
| 812 | C2×C4 | — | 26 | 1 | no | — |
| 813 | C2×C4 | — | 26 | 1 | no | — |
| 814 | C2×C4 | — | 26 | 2 | no | — |
| 815 | C2×C4 | — | 52 | 2 | no | — |
| 816 | C2×C4 | — | 52 | 2 | no | — |
| 817 | C2×C4 | — | 52 | 2 | no | — |
| 818 | C2×C4 | — | 52 | 1 | no | — |
| 819 | C2×C4 | — | 52 | 1 | no | — |
| 820 | C2×C4 | — | 52 | 2 | no | — |
| 821 | C2×C4 | — | 104 | 2 | no | — |
| 822 | C2×C4 | — | 208 | 2 | no | — |
| 823 | C2×C4 | C23×#261 | 1 | 1 | yes | characteristic |
| 824 | C8 | — | 2 | 1 | no | — |
| 825 | C8 | — | 13 | 1 | no | — |
| 826 | C8 | — | 13 | 1 | no | — |
| 827 | C8 | — | 26 | 1 | no | — |
| 828 | C8 | — | 26 | 1 | no | — |
| 829 | C8 | — | 26 | 1 | no | — |
| 830 | C8 | — | 52 | 2 | no | — |
| 831 | C8 | — | 52 | 1 | no | — |
| 832 | C8 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 833 | C8 | C2×C22⋊#261 | 1 | 1 | yes | characteristic |
| 834 | C22 | — | 2 | 1 | no | — |
| 835 | C22 | — | 2 | 2 | no | — |
| 836 | C22 | — | 4 | 2 | no | — |
| 837 | C22 | — | 8 | 2 | no | — |
| 838 | C22 | — | 13 | 1 | no | — |
| 839 | C22 | — | 13 | 1 | no | — |
| 840 | C22 | — | 16 | 2 | no | — |
| 841 | C22 | — | 26 | 1 | no | — |
| 842 | C22 | — | 26 | 1 | no | — |
| 843 | C22 | — | 26 | 1 | no | — |
| 844 | C22 | — | 26 | 2 | no | — |
| 845 | C22 | — | 52 | 2 | no | — |
| 846 | C22 | — | 52 | 2 | no | — |
| 847 | C22 | — | 52 | 1 | no | — |
| 848 | C22 | — | 52 | 1 | no | — |
| 849 | C22 | — | 52 | 2 | no | — |
| 850 | C22 | — | 104 | 2 | no | — |
| 851 | C22 | — | 104 | 2 | no | — |
| 852 | C22 | — | 104 | 2 | no | — |
| 853 | C22 | — | 208 | 2 | no | — |
| 854 | C22 | — | 208 | 2 | no | — |
| 855 | C22 | — | 208 | 2 | no | — |
| 856 | C22 | — | 208 | 2 | no | — |
| 857 | C22 | #11719623 | 1 | 1 | yes | characteristic |
| 858 | C4 | — | 2 | 1 | no | — |
| 859 | C4 | — | 2 | 2 | no | — |
| 860 | C4 | — | 13 | 1 | no | — |
| 861 | C4 | — | 13 | 1 | no | — |
| 862 | C4 | — | 26 | 1 | no | — |
| 863 | C4 | — | 26 | 2 | no | — |
| 864 | C4 | — | 52 | 1 | no | — |
| 865 | C4 | — | 52 | 1 | no | — |
| 866 | C4 | — | 52 | 2 | no | — |
| 867 | C4 | — | 104 | 2 | no | — |
| 868 | C4 | C2×D4×#261 | 1 | 1 | yes | characteristic |
| 869 | C4 | C22×C22⋊#261 | 1 | 1 | yes | characteristic |
| 870 | C2 | — | 2 | 1 | no | — |
| 871 | C2 | — | 4 | 1 | no | — |
| 872 | C2 | — | 4 | 2 | no | — |
| 873 | C2 | — | 8 | 2 | no | — |
| 874 | C2 | — | 13 | 1 | no | — |
| 875 | C2 | — | 13 | 1 | no | — |
| 876 | C2 | — | 26 | 1 | no | — |
| 877 | C2 | — | 52 | 1 | no | — |
| 878 | C2 | — | 52 | 2 | no | — |
| 879 | C2 | — | 104 | 2 | no | — |
| 880 | C2 | D4×C22⋊#261 | 1 | 1 | yes | characteristic |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. D13⋊#443 | C2 | semidirect |
| 2. #13131598 | C2 | semidirect |
| 3. #13131457 | C2 | semidirect |
| 4. #13130997 | C2 | semidirect |
| 5. #13130983 | C2 | semidirect |
| 6. #13130875 | C2 | semidirect |
| 7. #13130836 | C2 | semidirect |
| 8. #13130725 | C2 | semidirect |
| 9. #13130682 | C2 | semidirect |
| 10. #13130610 | C2 | semidirect |
| 13. #11719631 | C22 | semidirect |
| 14. D13⋊#131 | C22 | semidirect |
| 15. C13×#576 | C4 | semidirect |
| 16. #11719540 | C4 | semidirect |
| 18. #11719479 | C4 | semidirect |
| 22. #11719474 | C4 | semidirect |
| 26. #11719462 | C4 | semidirect |
| 29. #11719457 | C4 | semidirect |
| 35. #11719164 | C22 | semidirect |
| 37. D13⋊#104 | C22 | semidirect |
| 38. #11719151 | C22 | semidirect |
| 39. D13⋊#100 | C22 | semidirect |
| 41. #11719138 | C22 | semidirect |
| 43. C2×#88115 | C22 | semidirect |
| 50. D13⋊#108 | C22 | semidirect |
| 51. C2×#88102 | C22 | semidirect |
| 52. #11719089 | C22 | semidirect |
| 53. C2×C8×#261 | C22 | semidirect |
| 54. #11718273 | C22 | semidirect |
| 55. #11718272 | C22 | semidirect |
| 56. #11718271 | C22 | semidirect |
| 57. C13×H(5,𝔽2) | C2×C4 | semidirect |
| 60. #88256 | C2×C4 | semidirect |
| 61. #88256 | C2×C4 | semidirect |
| 69. #88251 | C2×C4 | semidirect |
| 92. C13×AGL(1,ℤ/8) | C2×C4 | semidirect |
| 96. C2×C13×D8 | C2×C4 | semidirect |
| 97. C13×#131 | C2×C4 | semidirect |
| 101. #88203 | C2×C4 | semidirect |
| 102. #88202 | C2×C4 | semidirect |
| 104. #88186 | C2×C4 | semidirect |
| 106. C2×#6104 | C2×C4 | semidirect |
| 132. #88162 | C2×C4 | semidirect |
| 134. #88161 | C2×C4 | semidirect |
| 140. C2×D104 | C2×C4 | semidirect |
| 142. #88155 | C2×C4 | semidirect |
| 265. C13×Q16 | C22⋊C4 | semidirect |
| 267. C13×SD16 | C22⋊C4 | semidirect |
| 271. C13×D8 | C22⋊C4 | semidirect |
| 276. #6107 | C22⋊C4 | semidirect |
| 278. #6106 | C22⋊C4 | semidirect |
| 280. #6105 | C22⋊C4 | semidirect |
| 285. #6104 | C22⋊C4 | semidirect |
| 290. Dic52 | C22⋊C4 | semidirect |
| 294. D104 | C22⋊C4 | semidirect |
| 296. #6095 | C22⋊C4 | semidirect |
| 414. #576 | #261 | semidirect |
| 494. H(5,𝔽2) | C2×#261 | semidirect |
| 516. AGL(1,ℤ/8) | C2×#261 | semidirect |
| 546. C2×D8 | C2×#261 | semidirect |
| 555. #131 | C2×#261 | semidirect |
| 680. Q16 | C22⋊#261 | semidirect |
| 688. SD16 | C22⋊#261 | semidirect |
| 701. D8 | C22⋊#261 | semidirect |
| 746. C13 | #22466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#443 | 2 |
| #13131598 | 2 |
| #13131457 | 2 |
| #13130997 | 2 |
| #13130983 | 2 |
| #13130875 | 2 |
| #13130836 | 2 |
| #13130725 | 2 |
| #13130682 | 2 |
| #13130610 | 2 |
| D13×#576 | 2 |
| #22466 | 13 |